The following will be at least 4-5IV imperfect / 4EM, given some time and at the mercy of ratio.
GTS preference.


Dream (HA)
Carvanha / Dratini / Ralts / Glameow / Zubat / Snorunt / Hoppip / Whismur / Remoraid / Poliwag / Poochyena / Eevee / Aipom / Feebas / Drifloon / Spiritomb
HA-less
Buneary / Audino / Numel / Mareep / Kangaskhan

Friend
Larvitar / Roselia / Shroomish

Heavy
Onix / Mawile / Skarmory

Love
Mareep / Snubbull / Mawile / Sentret / Swablu / Heracross / Chansey / Luvdisc / Hoppip / Cleffa

Level
Meditite / Starly / Numel / Pidgey / Growlithe / Kangaskhan / Shinx

Lure
Magikarp / Chatot / Lapras / Taillow

Moon
Houndour / Vulpix / Ponyta / Swablu / Ekans / Misdreavus / Ralts / Shinx / Gastly / Absol / Lapras

Safari
Electrike / Kangaskhan / Skorupi / Scyther / Venonat

Sport
Scyther

Misc.
Dusk / Net Earth Power Deino
Dickton of PP Ups / Maxes
Starf / Enigma / Lansat (low supply currently)



Seeking:
Dream
Slowpoke / Aerodactyl / Nidoran / Lapras / Abra / Venipede / Gible / Lileep

Fast
Buizel / Growlithe

Friend
Natu / Tangela / Weedle / Ralts

Heavy
Machop / Ponyta / Vulpix / Rhyhorn / Phanpy

Love
Aipom / Sneasel

Level
Houndour / Rattata / Weedle / Girafarig / Buneary / Slakoth / Mawile

Lure
Marill / Heracross / Horsea / Tangela

Moon
Nidoran-F / Chatot / Teddiursa / Heracross / Zubat / Murkrow

Safari
Lotad


Misc.
Luxury / Net HA Gible
Premier / Repeat Darumaka
Anything I lack, really.